55
also ik I'm helping u but don't cheat on tests XD I'm so bad
The sum of the two <em>rational</em> equations is equal to (3 · n² + 5 · n - 10) / (3 · n³ - 6 · n²).
<h3>How to simplify the addition between two rational equations</h3>
In this question we must use <em>algebra</em> definitions and theorems to simplify the addition of two <em>rational</em> equations into a <em>single rational</em> equation. Now we proceed to show the procedure of solution in detail:
- (n + 5) / (n² + 3 · n - 10) + 5 / (3 · n²) Given
- (n + 5) / [(n + 5) · (n - 2)] + 5 / (3 · n²) x² - (r₁ + r₂) · x + r₁ · r₂ = (x - r₁) · (x - r₂)
- 1 / (n - 2) + 5 / (3 · n²) Associative and modulative property / Existence of the multiplicative inverse
- [3 · n² + 5 · (n - 2)] / [3 · n² · (n - 2)] Addition of fractions with different denominator
- (3 · n² + 5 · n - 10) / (3 · n³ - 6 · n²) Distributive property / Power properties / Result
To learn more on rational equations: brainly.com/question/20850120
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Answer:
Basketball + Sports Drink
$7.50 + $2.75 = $10.25
$10.25 + ? + $13 = $30
30 - 23.25 = <u>6.75</u>
Answer:
740 total students, 481 total girls
Step-by-step explanation:
Let x be the total number of students and y be the total number of girls
x -
You know that 35% of the students is 259 students. If you convert this into algebra, you can write : 0.35x = 259, after simplifying, you know that x = 740.
y-
You know that 35% of the students are boys, so 65% must be girls. You can say that 65% of x is y and write the equation 0.65(740)=y. After simplifying, you can see that y = 481.
I hope this helps :)
